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Finding the Fourth Proportional to 11,287.26, 16,919.73 and 5,353.74

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Solution

The fourth proportional to 11,287.26, 16,919.73 and 5,353.74 is: 8,025.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,287.26 : 16,919.73 = 5,353.74 : x
  2. Step 2: Convert to fraction form
    11,287.26/16,919.73 = 5,353.74/x
  3. Step 3: Cross multiply
    11,287.26x = 16,919.73 × 5,353.74
  4. Step 4: Simplify right side
    11,287.26x = 90,583,835.29
  5. Step 5: Solve for x
    x = 90,583,835.29/11,287.26
  6. Step 6: Final answer
    x = 8,025.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.